ForAll[x, expr] represents the statement that expr is True for all values of x. ForAll[x, cond, expr] states that expr is True for all x satisfying the condition cond. ...

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

All the functionality of NumericalMath`Butcher`is now available in the newly created Numerical Differential Equation Analysis Package.

All the functionality of NumericalMath`EquationTrekker` is now available in the newly created Equation Trekker Package.

Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use ...

FullSimplify[expr] tries a wide range of transformations on expr involving elementary and special functions, and returns the simplest form it finds. FullSimplify[expr, assum] ...

x^y gives x to the power y.

Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...

Building on Mathematica's unique base of visualization and graphics capabilities, Mathematica 7 adds several important new areas. Emphasizing integration and automation, ...